Sari is factoring the polynomial 2x2 + 5x+3. If one factor is (x+1), what is the other factor?

0 2X-3

2x+3

3x-2

ard

3x+2

s Notebo ...

8-19-

TER 2:

12-20,

01-07

2x+3

Step-by-step explanation:

It's B on edg

2x + 3

Step-by-step explanation:

Given

2x² + 5x + 3

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term

product = 2 * 3 = 6 and sum = 2 + 3 = 5

The factors are 2 and 3

Use these factors to split the x - term

2x² + 2x + 3x + 3 (factor the first/second and third/fourth terms)

= 2x (x + 1) + 3 (x + 1) ← factor out (x + 1) from each term

= (x + 1) (2x + 3) ← in factored form

Thus the other factor is (2x + 3)